921 citations · 1k across the 11 of their papers we have counts for
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math.OC2017★ 3 cited
Third-order Smoothness Helps: Even Faster Stochastic Optimization Algorithms for Finding Local Minima
Yaodong Yu, Pan Xu, Quanquan Gu
We propose stochastic optimization algorithms that can find local minima faster than existing algorithms for nonconvex optimization problems, by exploiting the third-order smoothne…
cs.LG2017★ 6 cited
Saving Gradient and Negative Curvature Computations: Finding Local Minima More Efficiently
Yaodong Yu, Difan Zou, Quanquan Gu
We propose a family of nonconvex optimization algorithms that are able to save gradient and negative curvature computations to a large extent, and are guaranteed to find an approxi…